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For any real number x ,l e t[x] denote t...

For any real number `x ,l e t[x]` denote the largest integer less than or equal to `x ,L e tf` be a real-valued function defined on the interval `[-10 , 10]` be `f(x)={x-[x],if[x]i sod d1+[x]-x ,if[x]i se v e n` Then the value of `(pi^2)/(10)int_(-1)^(10)f(x)cospixdxi s____`

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